The challenge question involves finding three consecutive even integers that sum to 54. The integers can be expressed as a, b, and c, where a = b-2 and c = b+2. By setting up the equation (b-2) + b + (b+2) = 54, one can solve for b, leading to the integers 16, 18, and 20. The initial confusion regarding the sum of the digits in 104 was clarified, confirming that the correct approach was to focus on the consecutive even integers.
PREREQUISITESStudents in Algebra I, educators teaching algebra concepts, and anyone interested in enhancing their problem-solving skills in mathematics.
The sum of the digits in 104 is 1 + 0 + 4 = 5.dbmorpher said:Homework Statement
An even integer can be written as the expression 2n. Find three consecutive even integers with a sum of 54.Homework Equations
None, this was a challenge question.The Attempt at a Solution
I got that the sum of the digits in 104 (2*52) equals 54 but cannot see any other solutions.
Mark44 said:The sum of the digits in 104 is 1 + 0 + 4 = 5.